Solution Found!
Determine the smallest subring of Q that contains 2/3.
Chapter 12, Problem 48E(choose chapter or problem)
Problem 48E
Determine the smallest subring of Q that contains 2/3.
Questions & Answers
QUESTION:
Problem 48E
Determine the smallest subring of Q that contains 2/3.
ANSWER:
Problem 48E
Determine the smallest subring of Q that contains .
Step by Step Solution
Step 1 of 3
A ring R is a set with two binary operations, addition and multiplication, satisfying several properties: R is an Abelian group under addition, and the multiplication operation satisfies the associative law
And distributive laws
and
for every
The identity of the addition operation is denoted 0. If the multiplication operation has an identity, it is called a unity. If multiplication is commutative, we say that R is commutative.
A subring of a ring R is a subset
that is a ring under the operations of R.